Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310y |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-312141206414338560 = -1 · 29 · 34 · 5 · 710 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2455072,-1481890304] |
[a1,a2,a3,a4,a6] |
Generators |
[23497774315:34524768322:12977875] |
Generators of the group modulo torsion |
j |
-5793436991923609/1105021440 |
j-invariant |
L |
3.7586792627298 |
L(r)(E,1)/r! |
Ω |
0.060304331588969 |
Real period |
R |
15.582128031651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310bd1 |
Quadratic twists by: -7 |